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Finding the Fourth Proportional to 143,200.80, 214,784.74 and 38,028

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Solution

The fourth proportional to 143,200.80, 214,784.74 and 38,028 is: 57,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,200.80 : 214,784.74 = 38,028 : x
  2. Step 2: Convert to fraction form
    143,200.80/214,784.74 = 38,028/x
  3. Step 3: Cross multiply
    143,200.80x = 214,784.74 × 38,028
  4. Step 4: Simplify right side
    143,200.80x = 8,167,834,092.72
  5. Step 5: Solve for x
    x = 8,167,834,092.72/143,200.80
  6. Step 6: Final answer
    x = 57,037.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.